Where: Five miles from Presteigne, a historic town in east Wales, several miles from the English border and just under two hours’ drive from Birmingham international airport.

What: The Grade II*-listed Old Burfa is a medieval cruck-framed farmhouse that dates back to 1487. The six-bedroom property fell into disrepair in the early part of the 20th century but underwent extensive renovation work in the 1970s and again in 2004.

Why: The master bedroom has light blue and orange hearts painted on the walls, thought to celebrate the marriage of Catherine Hoby to Stephen Bull in the 1640s.

Where: On the shores of Lake Montauk, Long Island, 14 miles from East Hampton. Montauk airport is just the other side of the lake while for international travellers, LaGuardia airport is just over a two-hour drive away.

What: A contemporary four-bedroom house built in 1977 with two terraces, all in 1.2 acres.

Why: The house has two stone fireplaces – perfect for curling up around after a stroll around the grounds.